Arbikosov vortex and Heisenberg

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SUMMARY

The discussion centers on Abrikosov vortices in superconductors, which exhibit a precise quantum flux of h/e and can be localized through experimental techniques. The participant raises questions about the commutation properties of these vortices, suggesting that their quantum characteristics may imply associated uncertainties. It is noted that the superconducting phase commutes with charge, specifically the number of Cooper pairs, and draws a parallel to phase qubits, while also mentioning the theoretical concept of a vortex qubit, which remains unproven.

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  • Understanding of superconductivity and Abrikosov vortices
  • Familiarity with quantum mechanics and commutation relations
  • Knowledge of Cooper pairs and their role in superconductivity
  • Basic concepts of qubits and quantum computing
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Irid
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Hello,
I'm studying superconductors and I began to wonder about Abrikosov vortices. They possesses a precise quantum flux (h/e), and are also localized in space enough to be exactly pin-pointed by experimental techniques. As it is some kind of a quantum object, shouldn't these vortex properties not commute with something? Are there any quantum uncertainties associated with it?
 
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Generally speaking, the superconducting phase commutes with charge(=the number of Cooper pairs). This is certainly true for phase qubits, and although I don't remember the details I assume the same would be true for e.g. a vrotex qubit (not that anyone has even succesfully demonstrated one)
 

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